Form in many variables: p-adic repulsion

Abstract: Consider the integral zeroes of one or more, not necessarily diagonal, integral polynomials in many variables with the same degree. The basic principles for applying the circle method here were laid out by Birch. One way to improve on his work is repulsion: showing that the exponential sum over the polynomials can be large only on small, well separated regions. I will describe a p-adic version of repulsion.

number theory

Audience: researchers in the topic

CRM-CICMA Québec Vermont Seminar Series

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